On Nondifferentiable Higher-Order Symmetric Duality in Multiobjective Programming Involving Cones

Xin Min Yang; Jin Yang; Tsz Leung Yip

doi:10.1007/s40305-013-0033-8

On Nondifferentiable Higher-Order Symmetric Duality in Multiobjective Programming Involving Cones

Xin Min Yang, Jin Yang, Tsz Leung Yip

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

In this paper, we point out some deficiencies in a recent paper (Lee and Kim in J. Nonlinear Convex Anal. 13:599-614, 2012), and we establish strong duality and converse duality theorems for two types of nondifferentiable higher-order symmetric duals multiobjective programming involving cones.

Original language	English
Pages (from-to)	453-465
Number of pages	13
Journal	Journal of the Operations Research Society of China
Volume	1
Issue number	4
DOIs	https://doi.org/10.1007/s40305-013-0033-8
Publication status	Published - 1 Jan 2013

Keywords

Converse duality theorems
Higher-order Mond-Weir symmetric dual model
Higher-order Wolfe symmetric dual model
Multiobjective programming
Nondifferentiability
Strong duality theorems

ASJC Scopus subject areas

General Decision Sciences

More information

10.1007/s40305-013-0033-8

Cite this

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abstract = "In this paper, we point out some deficiencies in a recent paper (Lee and Kim in J. Nonlinear Convex Anal. 13:599-614, 2012), and we establish strong duality and converse duality theorems for two types of nondifferentiable higher-order symmetric duals multiobjective programming involving cones.",

keywords = "Converse duality theorems, Higher-order Mond-Weir symmetric dual model, Higher-order Wolfe symmetric dual model, Multiobjective programming, Nondifferentiability, Strong duality theorems",

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KW - Converse duality theorems

KW - Higher-order Mond-Weir symmetric dual model

KW - Higher-order Wolfe symmetric dual model

KW - Multiobjective programming

KW - Nondifferentiability

KW - Strong duality theorems

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DO - 10.1007/s40305-013-0033-8

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JO - Journal of the Operations Research Society of China

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On Nondifferentiable Higher-Order Symmetric Duality in Multiobjective Programming Involving Cones

Abstract

Keywords

ASJC Scopus subject areas

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